The number 25404
25404 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 73. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 73, 87, 116, 146, 174, 219, 292, 348 … 25404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25404 is composite. Its prime factorisation is
- 3
The divisors add up to 62160; without 25404 itself that is 36756, so 25404 is abundant (36756 is more than 25404). Euler's totient φ(25404) = 8064 numbers up to 25404 share no factor with it.
- 4
The digits of 25404 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 201 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25404 = 2^{2} \times 3 \times 29 \times 73 \]25404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 62160 |
| Euler totient φ(n) | 8064 |
| Square | 645363216 |
| Cube | 16394807139264 |
| Square root | 159.386323 (= 2√6351) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 201 |
| Scientific notation | 2.5404 × |
25404 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand four hundred and four |
| Binary (base 2) | 110001100111100 |
| Octal (base 8) | 61474 |
| Hexadecimal (base 16) | 633C |
| Base 3 | 1021211220 |
| As time | 25404 seconds = 7 h 3 min 24 s |
Is 25404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25404 ÷ 2 = 12702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25404 ÷ 3 = 8468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25404 ÷ 4 = 6351) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25404 ÷ 6 = 4234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (25404 ÷ 12 = 2117) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25404 a prime number?
No. 25404 = × 3 × 29 × 73, so it is divisible by 2.
What are the factors of 25404?
1, 2, 3, 4, 6, 12, 29, 58, 73, 87, 116, 146, 174, 219, 292, 348, 438, 876, 2117, 4234, 6351, 8468, 12702, 25404.
What is 25404 in binary?
110001100111100 (hexadecimal 633C, octal 61474).
What is the square root of 25404?
About 159.3863, exactly 2√6351.
Is 25404 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 25404?
It is a composite number with 24 divisors.